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Finding the Fourth Proportional to 42,910.75, 64,370.58 and 11,746

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Solution

The fourth proportional to 42,910.75, 64,370.58 and 11,746 is: 17,620.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,910.75 : 64,370.58 = 11,746 : x
  2. Step 2: Convert to fraction form
    42,910.75/64,370.58 = 11,746/x
  3. Step 3: Cross multiply
    42,910.75x = 64,370.58 × 11,746
  4. Step 4: Simplify right side
    42,910.75x = 756,096,832.68
  5. Step 5: Solve for x
    x = 756,096,832.68/42,910.75
  6. Step 6: Final answer
    x = 17,620.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.